Q: What are the factor combinations of the number 147,001,465?

 A:
Positive:   1 x 1470014655 x 2940029313 x 1130780517 x 864714565 x 226156185 x 1729429221 x 6651651105 x 133033
Negative: -1 x -147001465-5 x -29400293-13 x -11307805-17 x -8647145-65 x -2261561-85 x -1729429-221 x -665165-1105 x -133033


How do I find the factor combinations of the number 147,001,465?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 147,001,465, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 147,001,465
-1 -147,001,465

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 147,001,465.

Example:
1 x 147,001,465 = 147,001,465
and
-1 x -147,001,465 = 147,001,465
Notice both answers equal 147,001,465

With that explanation out of the way, let's continue. Next, we take the number 147,001,465 and divide it by 2:

147,001,465 ÷ 2 = 73,500,732.5

If the quotient is a whole number, then 2 and 73,500,732.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 147,001,465
-1 -147,001,465

Now, we try dividing 147,001,465 by 3:

147,001,465 ÷ 3 = 49,000,488.3333

If the quotient is a whole number, then 3 and 49,000,488.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 147,001,465
-1 -147,001,465

Let's try dividing by 4:

147,001,465 ÷ 4 = 36,750,366.25

If the quotient is a whole number, then 4 and 36,750,366.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 147,001,465
-1 147,001,465
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15131765852211,105133,033665,1651,729,4292,261,5618,647,14511,307,80529,400,293147,001,465
-1-5-13-17-65-85-221-1,105-133,033-665,165-1,729,429-2,261,561-8,647,145-11,307,805-29,400,293-147,001,465

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